Question 1

A term used to describe the case when the independent variables in a multiple regression model are correlated is

Accepted Answer

A) regression 
B) correlation 
C) multicollinearity 
D) None of the above answers is correct. 
A) regression 
B) correlation 
C) multicollinearity 
D) None of the above answers is correct.

Question 2

Exhibit 15-6
Below you are given a partial computer output based on a sample of 16 observations.  
-Refer to Exhibit 15-6. The t value obtained from the table which is used to test an individual parameter at the 1% level is

Accepted Answer

A) 2.65 
B) 2.921 
C) 2.977 
D) 3.012 
A) 2.65 
B) 2.921 
C) 2.977 
D) 3.012

Question 3

In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 120 and SSE = 42. The coefficient of determination is

Accepted Answer

A) 0.81 
B) 0.11 
C) 0.35 
D) 0.65 
A) 0.81 
B) 0.11 
C) 0.35 
D) 0.65

Question 4

Below you are given a partial computer output based on a sample of 12 observations relating the number of personal computers sold by a computer shop per month (Y), unit price (X1 in $1,000) and the number of advertising spots (X2) they used on a local television station.   
a.At $\alpha$ = 0.05 level of significance, test to determine if the model is significant. That is, determine if there exists a significant relationship between the independent variables and the dependent variable.
b.Determine the multiple coefficient of determination.
c.Determine the adjusted multiple coefficient of determination.

Accepted Answer

a.F = 16.133; p-valu

Question 5

A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares.
SSE = 306
SST = 1800
a.Compute the coefficient of determination.
b.At $\alpha$= 0.05, test to determine whether or not the model is significant.

Accepted Answer

a.0.83
b.F = 36.62;

Question 6

In logistic regression,

Accepted Answer

A) there can only be two independent variables 
B) there are two dependent variables 
C) the dependent variable only assumes two discrete values 
D) the dependent variable only assumes two continuous values 
A) there can only be two independent variables 
B) there are two dependent variables 
C) the dependent variable only assumes two discrete values 
D) the dependent variable only assumes two continuous values

Question 7

The following is part of the results of a regression analysis involving sales (Y in millions of dollars), advertising expenditures (X1 in thousands of dollars), and number of sales people (X2) for a corporation:   
a.At $\alpha$ = 0.05 level of significance, test to determine if the model is significant. That is, determine if there exists a significant relationship between the independent variables and the dependent variable.
b.Determine the multiple coefficient of determination.
c.Determine the adjusted multiple coefficient of determination.
d.What has been the sample size for this regression analysis?

Accepted Answer

a.F = 3.91; p-value is between

Question 8

A microcomputer manufacturer has developed a regression model relating his sales (Y in $10,000s) with three independent variables. The three independent variables are price per unit (Price in $100s), advertising (ADV in $1,000s) and the number of product lines (Lines). Part of the regression results is shown below.   
a. Use the above results and write the regression equation that can be used to predict sales.
b.If the manufacturer has 10 product lines, advertising of $40,000, and the price per unit is $3,000, what is your estimate of their sales? Give your answer in dollars.
c.Compute the coefficient of determination and fully interpret its meaning.
d.At $\alpha$= 0.05, test to see if there is a significant relationship between sales and unit price.
e.At $\alpha$ = 0.05, test to see if there is a significant relationship between sales and the number of product lines.
f. Is the regression model significant? (Perform an F test.)
g. Fully interpret the meaning of the regression (coefficient of price) per unit that is, the slope for the price per unit.
h. What has been the sample size for this analysis?

Accepted Answer

a. @#IMG-DLM& b.$303,821.9
c.0.488; 48.8% of the v

Question 9

The following is part of the results of a regression analysis involving sales (Y in millions of dollars), advertising expenditures (X1 in thousands of dollars), and number of salespeople (X2) for a corporation. The regression was performed on a sample of 10 observations.   
a.Write the regression equation.
b.Interpret the coefficients of the estimated regression equation found in Part (a).
c.At $\alpha$ =0.05, test for the significance of the coefficient of advertising.
d.At $\alpha$ =0.05, test for the significance of the coefficient of number of salespeople.
e.If the company uses $50,000 in advertisement and has 800 salespersons, what are the expected sales? Give your answer in dollars.

Accepted Answer

a. @#IMG-DLM& b.As advertising increases by 1 unit

Question 10

A measure of the effect of an unusual x value on the regression results is called

Accepted Answer

A) Cook's D 
B) Leverage 
C) odd ratio 
D) unusual regression 
A) Cook's D 
B) Leverage 
C) odd ratio 
D) unusual regression

Question 11

The numerical value of the coefficient of determination

Accepted Answer

A) is always larger than the coefficient of correlation 
B) is always smaller than the coefficient of correlation 
C) is negative if the coefficient of determination is negative 
D) can be larger or smaller than the coefficient of correlation 
A) is always larger than the coefficient of correlation 
B) is always smaller than the coefficient of correlation 
C) is negative if the coefficient of determination is negative 
D) can be larger or smaller than the coefficient of correlation

Question 12

Exhibit 15-2
A regression model between sales (Y in $1,000), unit price (XS1U1B11S1U1B0 in dollars) and television advertisement (XS1U1B12S1U1B0 in dollars) resulted in the following function:   For this model SSR = 3500, SSE = 1500, and the sample size is 18.
-Refer to Exhibit 15-2. To test for the significance of the model, the p-value is

Accepted Answer

A) less than 0.01 
B) between 0.01 and 0.025 
C) between 0.025 and 0.05 
D) between 0.05 and 0.10 
A) less than 0.01 
B) between 0.01 and 0.025 
C) between 0.025 and 0.05 
D) between 0.05 and 0.10

Question 13

Exhibit 15-8
The following estimated regression model was developed relating yearly income (Y in $1,000s) of 30 individuals with their age (XS1U1B11S1U1B0) and their gender (XS1U1B12S1U1B0) (0 if male and 1 if female).   Also provided are SST = 1,200 and SSE = 384.
-Refer to Exhibit 15-8. From the above function, it can be said that the expected yearly income of

Accepted Answer

A) males is $3 more than females 
B) females is $3 more than males 
C) males is $3,000 more than females 
D) females is $3,000 more than males 
A) males is $3 more than females 
B) females is $3 more than males 
C) males is $3,000 more than females 
D) females is $3,000 more than males

Question 14

Exhibit 15-6
Below you are given a partial computer output based on a sample of 16 observations.  
-Refer to Exhibit 15-6. The interpretation of the coefficient of X1 is that

Accepted Answer

A) a one unit change in X1 will lead to a 3.682 unit decrease in Y 
B) a one unit increase in X1 will lead to a 3.682 unit decrease in Y when all other variables are held constant 
C) a one unit increase in X1 will lead to a 3.682 unit decrease in X2 when all other variables are held constant 
D) It is impossible to interpret the coefficient. 
A) a one unit change in X1 will lead to a 3.682 unit decrease in Y 
B) a one unit increase in X1 will lead to a 3.682 unit decrease in Y when all other variables are held constant 
C) a one unit increase in X1 will lead to a 3.682 unit decrease in X2 when all other variables are held constant 
D) It is impossible to interpret the coefficient.

Question 15

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

Accepted Answer

A) an interaction 
B) a constant variable 
C) a dummy variable 
D) None of these alternatives is correct. 
A) an interaction 
B) a constant variable 
C) a dummy variable 
D) None of these alternatives is correct.

Question 16

Exhibit 15-1
In a regression model involving 44 observations, the following estimated regression equation was obtained.   For this model SSR = 600 and SSE = 400.
-Refer to Exhibit 15-1. The computed F statistics for testing the significance of the above model is

Accepted Answer

A) 1.500 
B) 20.00 
C) 0.600 
D) 0.6667 
A) 1.500 
B) 20.00 
C) 0.600 
D) 0.6667

Question 17

Exhibit 15-6
Below you are given a partial computer output based on a sample of 16 observations.  
-Refer to Exhibit 15-6. The test statistic used to determine if there is a relationship among the variables equals

Accepted Answer

A) -1.4 
B) 0.2 
C) 0.77 
D) 5 
A) -1.4 
B) 0.2 
C) 0.77 
D) 5

Question 18

A measure of goodness of fit for the estimated regression equation is the

Accepted Answer

A) multiple coefficient of determination 
B) mean square due to error 
C) mean square due to regression 
D) sample size 
A) multiple coefficient of determination 
B) mean square due to error 
C) mean square due to regression 
D) sample size

Question 19

A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.     
a. Write the regression equation for the above.b. Interpret the meaning of the coefficient of X3.
c. Compute the coefficient of determination.
d. Is the coefficient of X1 significant? Use $\alpha$  = 0.05.
e. Is the coefficient of X2 significant? Use $\alpha$  = 0.05.
f. Is the coefficient of X3 significant? Use $\alpha$  = 0.05.
g. Perform an F test and determine whether or not the model is significant.

Accepted Answer

a. @#IMG-DLM& = 4.0928 + 10.0230X₁ + 0.102X₂ - 4.481

Question 20

The following regression model has been proposed to predict sales at a fast food outlet.   
a.What is the interpretation of 15 (the coefficient of X3) in the regression equation?
b.Predict sales for a store with 2 competitors, a population of 10,000 within one mile, and one drive-up window (give the answer in dollars).
c.Predict sales for the store with 2 competitors, a population of 10,000 within one mile, and no drive-up window (give the answer in dollars).

Accepted Answer

a.Sales of stores with drive-u

A term used to describe the case when the independent variables in a multiple regression model are correlated is

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The t value obtained from the table which is used to test an individual parameter at the 1% level is

In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 120 and SSE = 42. The coefficient of determination is

A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares. SSE = 306 SST = 1800 a.Compute the coefficient of determination. b.At $\alpha$ = 0.05, test to determine whether or not the model is significant.

In logistic regression,

A measure of the effect of an unusual x value on the regression results is called

The numerical value of the coefficient of determination

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The interpretation of the coefficient of X₁ is that

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

Exhibit 15-1 In a regression model involving 44 observations, the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1. The computed F statistics for testing the significance of the above model is

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The test statistic used to determine if there is a relationship among the variables equals

A measure of goodness of fit for the estimated regression equation is the

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

Exam 15: Multiple Regression

A term used to describe the case when the independent variables in a multiple regression model are correlated is

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The t value obtained from the table which is used to test an individual parameter at the 1% level is

In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 120 and SSE = 42. The coefficient of determination is

A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares. SSE = 306 SST = 1800 a.Compute the coefficient of determination. b.At α\alphaα = 0.05, test to determine whether or not the model is significant.

In logistic regression,

A measure of the effect of an unusual x value on the regression results is called

The numerical value of the coefficient of determination

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The interpretation of the coefficient of X1 is that

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

Exhibit 15-1 In a regression model involving 44 observations, the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1. The computed F statistics for testing the significance of the above model is

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The test statistic used to determine if there is a relationship among the variables equals

A measure of goodness of fit for the estimated regression equation is the

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares. SSE = 306 SST = 1800 a.Compute the coefficient of determination. b.At $\alpha$ = 0.05, test to determine whether or not the model is significant.

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6. The interpretation of the coefficient of X₁ is that